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Finding the Third Proportional to 356,652 and 554,023

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Solution

The third proportional to 356,652 and 554,023 is: 860,618.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,652 : 554,023 = 554,023 : x
  2. Step 2: Convert to fraction form
    356,652/554,023 = 554,023/x
  3. Step 3: Cross multiply
    356,652x = 554,023 × 554,023
  4. Step 4: Simplify right side
    356,652x = 306,941,484,529
  5. Step 5: Solve for x
    x = 306,941,484,529/356,652
  6. Step 6: Final answer
    x = 860,618.99

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.